共查询到20条相似文献,搜索用时 31 毫秒
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In this paper, we discuss the influence of multiple values and Valiron deficiencies on the uniqueness problem of algebroid functions on annuli, we get the several uniqueness theorems of algebroid functions on annuli, and also we extend the Nevanlinna value distribution theory for algebroid functions on annuli. 相似文献
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《数学物理学报(B辑英文版)》2016,(1)
In this paper, we discuss the uniqueness problem of algebroid functions on annuli, we get several uniqueness theorems of algebroid functions on annuli, which extend the Nevanlinna value distribution theory for algebroid functions on annuli. 相似文献
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《数学物理学报(B辑英文版)》2016,(1)
In this paper, the authors introduce a kind of reducible algebroid functions, that is general algebroid functions and obtain two fundamental theorems of general algebroid functions. At last, as an application, we generalized a theorem of Li Guoping's. 相似文献
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In this paper, we firstly give the definition of meromorphic function element and algebroid mapping. We also construct the algebroid function family in which the arithmetic, differential operations are closed. On basis of these works, we firstly prove the Second Main Theorem concerning small algebroid functions for v-valued algebroid functions. 相似文献
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Liang Meili 《Journal of Mathematical Analysis and Applications》2009,356(1):201-207
In this paper, we investigate the value distribution of an algebroid function and its derivative, and obtain two inequations between Nevanlinna characteristic function of an algebroid function and that of its derivative. We extend Chuang Chitai's theorem of meromorphic functions to algebroid functions. 相似文献
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研究了单位圆内代数体函数涉及重值的Borel点的存在性,利用型函数统一证明了单位圆内无穷级,有限正级和部分零级代数体函数存在涉及重值的Borel点,并对有限正级的代数体函数得到两个必要条件. 相似文献
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In this paper,we define the shared value of an algebroid function and its derivative on its Riemann surface.By considering the relationship between the shared values and the branch points of algebroid functions and their derivatives,we obtain some uniqueness theorems of algebroid functions sharing values with their derivatives,which extend 3 IM shared values theorem of nonconstant meromorphic functions and their derivatives obtained by Mues-Steinmetz and Gundersen. 相似文献
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In this paper, we investigate the normality relationship between algebroid multifunctions and their coefficient functions. We prove that the normality of a k-valued entire algebroid multifunctions family is equivalent to their coefficient functions in some conditions.Furthermore, we obtain some new normality criteria for algebroid multifunctions families based on these results. We also provide some examples to expound that some restricted conditions of our main results are necessary. 相似文献
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In this paper,we investigate the growth relations between algebroid functions and their derivatives,and extend famous C.Chang inequality(see[1,4])of meromorphic functions to algebroid functions. 相似文献
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In this article several theorems of the theory of Γ-lines for meromorphic functions are extended to the more general setting
of algebroid functions. We recall the definition of algebroid function of order k and how it can be considered as a function defined on a Riemann surface of k sheets. In this way, we prove the so called tangent variation principle for algebroid functions, previously proved for meromorphic
functions by Barsegian, and we get several consequences of this result. We also extend a proposition on proximity properties
of meromorphic functions. 相似文献
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《数学物理学报(B辑英文版)》2015,(3)
Guided by Lo.Yang's method,we concern the question that how algebroid functions are determined by their multiple values and deficient values and we prove an at most3v-valued theorem for algebroid functions.The results are complemented by an example for completeness. 相似文献
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李华仙 《纯粹数学与应用数学》2013,(3):318-324,330
利用亚纯函数的Nevanlinna值分布理论和方法,研究了一类代数体函数微分多项式的值分布问题,推广和改进了相关文献的结论. 相似文献
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《数学物理学报(B辑英文版)》2020,(4)
In this article, we discuss, by Nevanlinna theory, the influence of multiple values and deficiencies on the uniqueness problem of algebroid functions. We get several uniqueness theorems of algebroid functions which include an at most 3 v-valued theorem. These results extend the existing achievements of some scholars. 相似文献
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《复变函数与椭圆型方程》2012,57(3):203-213
In this paper, we first give a fundamental inequality of algebroid functions, then using it we prove that for any x -valued algebroid functions of infinite order in the plane, there exists a sequence of filling disks and Borel direction of dealing with its multiple values, such that the number of Borel exceptional values is equal to 2ν at most. 相似文献
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Paul Bressler Alexander Gorokhovsky Ryszard Nest Boris Tsygan 《Advances in Mathematics》2011,(4):3018
In this paper we consider deformations of an algebroid stack on an étale groupoid. We construct a differential graded Lie algebra (DGLA) which controls this deformation theory. In the case when the algebroid is a twisted form of functions we show that this DGLA is quasiisomorphic to the twist of the DGLA of Hochschild cochains on the algebra of functions on the groupoid by the characteristic class of the corresponding gerbe. 相似文献
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张庆彩 《数学的实践与认识》2013,43(1)
研究涉及导函数的代数体函数的唯一性.证明了设w(z)为开复平面内不可约的v值代数体函数,a_i(i=1,2,…,4v-1)为判别的有穷复数,如果w(z)与w'(z)以a_1,a_2,…,a_(4v-1),∞为IM公共值,则w(z)≡w'(z). 相似文献
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应用代数体函数的Nevanlinna特征与Valiron特征,系统地研究了由v 1个整函数{Aj(z)}vj=0为系数所决定的代数体函数的级与Aj(z)(0≤j≤v)的级之间的关系;进而可以方便地求出代数体函数的级. 相似文献